# A rectangular picture measuring 3 in. by 5 in. is surrounded by a frame with uniform width x. How do you write a quadratic function in standard form to show the combined area of the picture and frame?

##### 1 Answer

Jun 9, 2018

#y=4x^2+16x+15#

#### Explanation:

Look at the diagram

The outer length is

The outer width is

Let the area be

Then-

#y=(5+2x)(3+2x)#

#y=15+6x+10x+4x^2#

#y=4x^2+16x+15#